Reversal effects in stochastic kink dynamics

A. V. Savin, G. P. Tsironis, A. V. Zolotaryuk

Research output: Contribution to journalArticle

30 Citations (Scopus)

Abstract

We study collective regular and stochastic dynamics in a chain of harmonically coupled particles subjected to an on-site potential with two degenerate energy wells but with differing frequencies of small-amplitude oscillations at their minima. We identify and study asymmetry-induced properties of a Peierls-Nabarro relief, kink-antikink interactions, and stochastic kink motion. In particular, we predict analytically and confirm numerically directed noise-induced soliton motion when the chain particles are driven by white and exponentially correlated noise. The difference of frequencies of oscillations in the vicinity of the wells is shown to be a sufficient condition for the existence of such a directed kink motion. We find that under certain conditions a reversal of the soliton motion takes place; these conditions involve the noise properties such as a critical correlation time or noise strength or the presence of an external d.c. field. In particular, we find that above some critical value of temperature, the directed soliton transport occurs against an applied d.c. field.

Original languageEnglish
Pages (from-to)2457-2466
Number of pages10
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume56
Issue number3 SUPPL. A
Publication statusPublished - 1997
Externally publishedYes

Fingerprint

Kink
Reversal
Solitons
Motion
solitary waves
Oscillation
Correlated Noise
oscillations
Stochastic Dynamics
Asymmetry
Critical value
asymmetry
Predict
Sufficient Conditions
Energy
Interaction
interactions
temperature
energy

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

Reversal effects in stochastic kink dynamics. / Savin, A. V.; Tsironis, G. P.; Zolotaryuk, A. V.

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 56, No. 3 SUPPL. A, 1997, p. 2457-2466.

Research output: Contribution to journalArticle

Savin, AV, Tsironis, GP & Zolotaryuk, AV 1997, 'Reversal effects in stochastic kink dynamics', Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 56, no. 3 SUPPL. A, pp. 2457-2466.
Savin, A. V. ; Tsironis, G. P. ; Zolotaryuk, A. V. / Reversal effects in stochastic kink dynamics. In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 1997 ; Vol. 56, No. 3 SUPPL. A. pp. 2457-2466.
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